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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWW314+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 03:10:17 PM UTC 2026

% Result   : Theorem 0.30s 0.65s
% Output   : CNFRefutation 0.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (  10 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   9   ~;   5   |;   0   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   13 (   0 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_5,conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).

fof(fact_cut,axiom,
    ! [X4,X5,X8,X6] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X6,X8,X5)
     => ( c_Hoare__Mirabelle_Ohoare__derivs(X6,X4,X8)
       => c_Hoare__Mirabelle_Ohoare__derivs(X6,X4,X5) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_cut) ).

fof(conj_4,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G_H),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).

fof(conj_0,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(c_0_4,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    inference(assume_negation,[status(cth)],[conj_5]) ).

fof(c_0_5,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_6,plain,
    ! [X292,X293,X294,X295] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X295,X292,X293)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X295,X292,X294)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X295,X294,X293) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_cut])])]) ).

fof(c_0_7,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    inference(fof_nnf,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G_H),
    inference(split_conjunct,[status(thm)],[conj_4]) ).

cnf(c_0_10,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,hypothesis,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,X1)
    | c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,X1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_12,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
    inference(split_conjunct,[status(thm)],[conj_0]) ).

cnf(c_0_13,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW314+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37  % Computer : n026.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Mon Sep 21 09:49:23 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42  Running first-order theorem proving
% 0.12/0.42  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.30/0.65  % Version: 3.5.1
% 0.30/0.65  % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.30/0.65  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.30/0.65  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.30/0.65  % Starting new_bool_3 with 300s (1) cores
% 0.30/0.65  % Starting new_bool_1 with 300s (1) cores
% 0.30/0.65  % Starting sh5l with 300s (1) cores
% 0.30/0.65  % new_bool_1 with pid 1967978 completed with status 0
% 0.30/0.65  % Result found by new_bool_1
% 0.30/0.65  % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.30/0.65  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.30/0.65  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.30/0.65  % Starting new_bool_3 with 300s (1) cores
% 0.30/0.65  % Starting new_bool_1 with 300s (1) cores
% 0.30/0.65  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.30/0.65  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.30/0.65  % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.30/0.65  % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.30/0.65  % Starting SubtermCWHack with 28s (1) cores
% 0.30/0.65  % SubtermCWHack with pid 1967980 completed with status 0
% 0.30/0.65  % Result found by SubtermCWHack
% 0.30/0.65  % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.30/0.65  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.30/0.65  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.30/0.65  % Starting new_bool_3 with 300s (1) cores
% 0.30/0.65  % Starting new_bool_1 with 300s (1) cores
% 0.30/0.65  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.30/0.65  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.30/0.65  % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.30/0.65  % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.30/0.65  % Starting SubtermCWHack with 28s (1) cores
% 0.30/0.65  % Preprocessing time       : 0.019 s
% 0.30/0.65  
% 0.30/0.65  % Proof found!
% 0.30/0.65  % SZS status Theorem
% 0.30/0.65  % SZS output start CNFRefutation
% See solution above
% 0.30/0.66  % Parsed axioms                        : 5231
% 0.30/0.66  % Removed by relevancy pruning/SinE    : 4781
% 0.30/0.66  % Initial clauses                      : 666
% 0.30/0.66  % Removed in clause preprocessing      : 31
% 0.30/0.66  % Initial clauses in saturation        : 635
% 0.30/0.66  % Processed clauses                    : 90
% 0.30/0.66  % ...of these trivial                  : 4
% 0.30/0.66  % ...subsumed                          : 13
% 0.30/0.66  % ...remaining for further processing  : 73
% 0.30/0.66  % Other redundant clauses eliminated   : 17
% 0.30/0.66  % Clauses deleted for lack of memory   : 0
% 0.30/0.66  % Backward-subsumed                    : 0
% 0.30/0.66  % Backward-rewritten                   : 0
% 0.30/0.66  % Generated clauses                    : 36
% 0.30/0.66  % ...of the previous two non-redundant : 25
% 0.30/0.66  % ...aggressively subsumed             : 0
% 0.30/0.66  % Contextual simplify-reflections      : 0
% 0.30/0.66  % Paramodulations                      : 20
% 0.30/0.66  % Factorizations                       : 0
% 0.30/0.66  % NegExts                              : 0
% 0.30/0.66  % Equation resolutions                 : 17
% 0.30/0.66  % Disequality decompositions           : 0
% 0.30/0.66  % Total rewrite steps                  : 13
% 0.30/0.66  % ...of those cached                   : 3
% 0.30/0.66  % Propositional unsat checks           : 0
% 0.30/0.66  %    Propositional check models        : 0
% 0.30/0.66  %    Propositional check unsatisfiable : 0
% 0.30/0.66  %    Propositional clauses             : 0
% 0.30/0.66  %    Propositional clauses after purity: 0
% 0.30/0.66  %    Propositional unsat core size     : 0
% 0.30/0.66  %    Propositional preprocessing time  : 0.000
% 0.30/0.66  %    Propositional encoding time       : 0.000
% 0.30/0.66  %    Propositional solver time         : 0.000
% 0.30/0.66  %    Success case prop preproc time    : 0.000
% 0.30/0.66  %    Success case prop encoding time   : 0.000
% 0.30/0.66  %    Success case prop solver time     : 0.000
% 0.30/0.66  % Current number of processed clauses  : 57
% 0.30/0.66  %    Positive orientable unit clauses  : 37
% 0.30/0.66  %    Positive unorientable unit clauses: 1
% 0.30/0.66  %    Negative unit clauses             : 8
% 0.30/0.66  %    Non-unit-clauses                  : 11
% 0.30/0.66  % Current number of unprocessed clauses: 569
% 0.30/0.66  % ...number of literals in the above   : 1293
% 0.30/0.66  % Current number of archived formulas  : 0
% 0.30/0.66  % Current number of archived clauses   : 0
% 0.30/0.66  % Clause-clause subsumption calls (NU) : 19
% 0.30/0.66  % Rec. Clause-clause subsumption calls : 17
% 0.30/0.66  % Non-unit clause-clause subsumptions  : 1
% 0.30/0.66  % Unit Clause-clause subsumption calls : 2
% 0.30/0.66  % Rewrite failures with RHS unbound    : 3
% 0.30/0.66  % BW rewrite match attempts            : 15
% 0.30/0.66  % BW rewrite match successes           : 1
% 0.30/0.66  % Condensation attempts                : 0
% 0.30/0.66  % Condensation successes               : 0
% 0.30/0.66  % Termbank termtop insertions          : 199124
% 0.30/0.66  % Search garbage collected termcells   : 54287
% 0.30/0.66  
% 0.30/0.66  % -------------------------------------------------
% 0.30/0.66  % User time                : 0.079 s
% 0.30/0.66  % System time              : 0.023 s
% 0.30/0.66  % Total time               : 0.102 s
% 0.30/0.66  % Maximum resident set size: 12924 pages
% 0.30/0.66  
% 0.30/0.66  % -------------------------------------------------
% 0.30/0.66  % User time                : 0.192 s
% 0.30/0.66  % System time              : 0.034 s
% 0.30/0.66  % Total time               : 0.225 s
% 0.30/0.66  % Maximum resident set size: 12288 pages
% 0.30/0.66  % E exiting
%------------------------------------------------------------------------------